A person travels 4 km east, then 4 km south and finally travels in such a way that his journey terminates 4 km directly west of the starting point. What is the magnitude of the displacement during the third leg of the journey?
Correct answer: A. 4√5 km
- A. 4√5 km
- B. 40 km
- C. 80 km
- D. 4√2 km
Explanation
Using Pythagoras' theorem, x² = 8² + 4² x = ( 8² + 4²)½ (½ means square root) = (80)½ = (16 × 5)½ = 4 (5)½ The explanation is attached below:
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About Displacement and Velocity
Displacement is the directed change in position, while velocity is the rate of change of displacement and includes both magnitude and direction. The topic connects position-time and velocity-time graphs with average and instantaneous values, and distinguishes displacement from distance and velocity from speed.
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